Description
A RotaBaxter algebra is an associative algebra together with a linear operator that satisfies an identity abstracted from the integration by part formula in calculus. The study of RotaBaxter algebra originated from the probability study conducted by Glenn Baxter in 1960, and was developed further by Cartier and the school of Rota during the 1960s and 1970s. Independently, beginning in the 1980s, this structure appeared in the Lie algebra context as the operator form of the classical YangBaxter equation. Since the late 1990s, RotaBaxter algebra has experienced a quite remarkable renascence, leading to important theoretical developments and applications in mathematical physics, operads, number theory, and combinatorics. Most papers on RotaBaxter algebra have been published during the last ten years.
This monograph is the first on RotaBaxter algebra written by a leading expert in this fascinating area, introducing the reader to three aspects of RotaBaxter algebra, and providing plentiful examples and applications, with a complete bibiliography.
Li Guo is a professor of mathematics at Rutgers University at Newark. He has a broad range of research interests, from arithmetic geometry and algebra to mathematical physics. His recent column “What is a RotaBaxter algebra?” appearing in the Notices of the American Mathematical Society, brings this new research area to the general mathematical community.
This volume is part of the Surveys of Modern Mathematics book series.
Publications
Pub. Date 
ISBN13 
ISBN10 
Medium 
Binding 
Size, Etc. 
Status 
List Price 

2012 Dec 
9781571462534 
1571462538 
paperback 
7” x 10” 
In Print 
US$87.00 